# An Asymptotic $\left(\frac{4}{3}+\varepsilon\right)$-Approximation for the 2-Dimensional Vector Bin Packing Problem

@inproceedings{Kulik2022AnA, title={An Asymptotic \$\left(\frac\{4\}\{3\}+\varepsilon\right)\$-Approximation for the 2-Dimensional Vector Bin Packing Problem}, author={Ariel Kulik and Matthias Mnich and Hadas Shachnai}, year={2022} }

We study the 2-Dimensional Vector Bin Packing Problem (2VBP), a generalization of classic Bin Packing that is widely applicable in resource allocation and scheduling. In 2VBP we are given a set of items, where each item is associated with a two-dimensional volume vector. The objective is to partition the items into a minimal number of subsets (bins), such that the total volume of items in each subset is at most 1 in each dimension. We give an asymptotic (cid:0) -approximation for the problem…

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